What is the 5960th prime number?
The 5960th prime number is 58967. The next prime is 58979 (a gap of 12) and the one before is 58963.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5960th one is 58967.
- 2
58967 is prime because no prime up to ā58967 ā 242.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5960th prime is close to 5960 Ć ln(5960) ā 51809, and here it is 58967.
- 4
58967 has no twin: neither 58965 nor 58969 is prime.
Primes around the 5960th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5957 | 58937 | 16 |
| 5958 | 58943 | 6 |
| 5959 | 58963 | 20 |
| 5960 | 58967 | 4 |
| 5961 | 58979 | 12 |
| 5962 | 58991 | 12 |
| 5963 | 58997 | 6 |
Questions
What is the 5960th prime number?
58967.
Which prime number is 58967?
58967 is the 5960th prime number.
What is the sum of the first 5960 primes?
166,082,585.